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The Kitaev model with an applied magnetic field in the $H||[111]$ direction shows two transitions: from a non-abelian gapped quantum spin liquid (QSL) to a gapless QSL at $H_{c1} \simeq 0.2K$ and a second transition at a higher field…

强关联电子 · 物理学 2019-06-11 Niravkumar D. Patel , Nandini Trivedi

The continuous imaginary-time quantum Monte Carlo method with the worm update algorithm is applied to explore the ground state properties of the spin-1/2 Heisenberg model with antiferromagnetic (AF) coupling $J>0$ and ferromagnetic (F)…

强关联电子 · 物理学 2017-06-07 Yi-Zhen Huang , Gang Su

In recent years, the increasing level of control over van der Waals (vdW) heterostructures has opened new routes to tune the properties of quantum materials. Motivated by these developments, we examine the potential consequences of…

强关联电子 · 物理学 2026-03-17 Pedro M. Cônsoli , Ezra Day-Roberts , Johannes Knolle , Antia S. Botana , Onur Erten

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

强关联电子 · 物理学 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

The Kitaev model is a rare example of an analytically solvable and physically instantiable Hamiltonian yielding a topological quantum spin liquid ground state. Here we report signatures of Kitaev spin liquid physics in the honeycomb magnet…

强关联电子 · 物理学 2021-01-04 Hector K. Vivanco , Benjamin A. Trump , Craig M. Brown , Tyrel M. McQueen

We investigate a bilayer Kitaev model, where two honeycomb layers are coupled by the Heisenberg interactions, to discuss effects of an interlayer coupling against the Kitaev quantum spin liquids (QSLs). In this model, there exists a local…

强关联电子 · 物理学 2018-03-06 Hiroyuki Tomishige , Joji Nasu , Akihisa Koga

Two-dimensional t-J model is studied by a variational Monte Carlo method, using Gutzwiller-Jastrow-type wave functions. Various kinds of superconducting pairing symmetries are compared in order to determine the phase diagram of the ground…

凝聚态物理 · 物理学 2009-10-28 Hisatoshi Yokoyama , Masao Ogata

The Kitaev honeycomb model hosts a fascinating fractionalized state of matter featuring emergent Majorana fermions and a vison particle that carries the flux of an emergent gauge field. In the exactly solvable model these visons are static…

强关联电子 · 物理学 2023-01-12 Chuan Chen , Inti Sodemann Villadiego

We study the field-induced magnetization processes of extended Heisenberg-Kitaev models on the honeycomb lattice, taking into account off-diagonal and longer-range exchange interactions, using a combination of Monte-Carlo simulations,…

强关联电子 · 物理学 2017-09-04 Lukas Janssen , Eric C. Andrade , Matthias Vojta

The honeycomb Kitaev model describes a $Z_2$ spin liquid with topological order and fractionalized excitations consisting of gapped $\pi$-fluxes and free Majorana fermions. Competing interactions, even when not very strong, are known to…

强关联电子 · 物理学 2025-01-14 Jagannath Das , Sarbajaya Kundu , Aman Kumar , Vikram Tripathi

The quantum phase transition, scaling behaviors, and thermodynamics in the spin-1/2 quantum Heisenberg model with antiferromagnetic coupling $J>0$ in armchair direction and ferromagnetic interaction $J'<0$ in zigzag direction on a honeycomb…

强关联电子 · 物理学 2016-06-08 Yi-Zhen Huang , Bin Xi , Xi Chen , Wei Li , Zheng-Chuan Wang , Gang Su

The exact solution of Kitaev's spin-$1/2$ honeycomb spin-liquid model has sparked an intense search for Mott insulators hosting bond-dependent Kitaev interactions, of which $\mathrm{Na}_{2}\mathrm{IrO}_{3}$ and $\alpha-\mathrm{RuCl}_{3}$…

强关联电子 · 物理学 2020-11-04 Pedro M. Cônsoli , Lukas Janssen , Matthias Vojta , Eric C. Andrade

Motivated by the growing interest in spin liquids and topological phases, as well as the rise of deformation engineering, we study the combined effects of deformation and magnetic fields on the honeycomb Kitaev model. The Kitaev model, as…

We present a general classification of the perturbations to the Kitaev model on the basis of their effect on it's spin correlation functions. We derive a necessary and sufficient condition for the spin correlators to exhibit a long ranged…

强关联电子 · 物理学 2015-05-20 S. Mandal , Subhro Bhattacharjee , K. Sengupta , R. Shankar , G. Baskaran

With the advancement in synthesizing and analyzing Kitaev materials, the Kitaev-Heisenberg model on the honeycomb lattice has attracted a lot of attention in the last few years. Several variations, which include additional anisotropic…

强关联电子 · 物理学 2018-08-15 Darshan G. Joshi

While phase transitions between magnetic analogs of three states of matter --- a long-range ordered state, paramagnet, and spin liquid --- have been extensively studied, the possibility of "liquid-liquid" transitions, namely, between…

强关联电子 · 物理学 2017-04-05 Joji Nasu , Yasuyuki Kato , Junki Yoshitake , Yoshitomo Kamiya , Yukitoshi Motome

Motivated by the three-dimensional structure of Kitaev materials we explore multilayer Kitaev models. The magnetic properties of a multilayer of an arbitrary number of Kitaev honeycomb layers stacked on top of each other coupled through a…

强关联电子 · 物理学 2025-03-05 Jaime Merino , Arnaud Ralko

We study the quantum many-body instabilities of the $t -J_{\mathrm{K}} - J_{\mathrm{H}}$ Kitaev-Heisenberg Hamiltonian on the honeycomb lattice as a minimal model for a doped spin-orbit Mott insulator. This spin-$1/2$ model is believed to…

The main question we address is how to probe the fractionalized excitations of a quantum spin liquid (QSL), for example, in the Kitaev honeycomb model. By analyzing the energy spectrum and entanglement entropy, for antiferromagnetic…

强关联电子 · 物理学 2019-05-08 David C. Ronquillo , Adu Vengal , Nandini Trivedi

We propose an accurate variational Monte Carlo method applicable in the presence of the strong spin-orbit interaction. Our variational wave functions consist of generalized Pfaffian-Slater wave functions that involve mixtures of singlet and…

强关联电子 · 物理学 2015-11-10 Moyuru Kurita , Youhei Yamaji , Satoshi Morita , Masatoshi Imada